Highest Common Factor of 2749, 3666 using Euclid's algorithm
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
HCF Calculator using the Euclid Division Algorithm helps you to find the Highest common factor (HCF) easily for 2749, 3666 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 2749, 3666 is 1 the largest number which exactly divides all the numbers i.e. where the remainder is zero. Let us get into the working of this example.
Consider we have numbers 2749, 3666 and we need to find the HCF of these numbers. To do so, we need to choose the largest integer first and then as per Euclid's Division Lemma a = bq + r where 0 ≤ r ≤ b
Highest common factor (HCF) of 2749, 3666 is 1.
HCF(2749, 3666) = 1
HCF of 2749, 3666 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2749, 3666 is 1.
Highest Common Factor of 2749,3666 is 1
Step 1: Since 3666 > 2749, we apply the division lemma to 3666 and 2749, to get
3666 = 2749 x 1 + 917
Step 2: Since the reminder 2749 ≠ 0, we apply division lemma to 917 and 2749, to get
2749 = 917 x 2 + 915
Step 3: We consider the new divisor 917 and the new remainder 915, and apply the division lemma to get
917 = 915 x 1 + 2
We consider the new divisor 915 and the new remainder 2,and apply the division lemma to get
915 = 2 x 457 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 2749 and 3666 is 1
Notice that 1 = HCF(2,1) = HCF(915,2) = HCF(917,915) = HCF(2749,917) = HCF(3666,2749) .
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Frequently Asked Questions on HCF of 2749, 3666 using Euclid's Algorithm
1. What is the Euclid division algorithm?
Answer: Euclid's Division Algorithm is a technique to compute the Highest Common Factor (HCF) of given positive integers.
2. what is the HCF of 2749, 3666?
Answer: HCF of 2749, 3666 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2749, 3666 using Euclid's Algorithm?
Answer: For arbitrary numbers 2749, 3666 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
